Electronics and Communication Engineering (ECE) Exam > Electronics and Communication Engineering (ECE) Questions > In a lossy medium(εr = 8, αr = 0.5, σ = 0.01...
Start Learning for Free
In a lossy medium(εr = 8, αr = 0.5, σ = 0.01S/m), a plane wave is travelling in + az direction that has the electric field intensity E = 0.5 cos(109πt + π/3 ) ax at z = 0.
What will be the distance (in mm) travelled by the wave to have a phase shift of 10°? (Answer up to two decimal places)
Correct answer is '8.33'. Can you explain this answer?
| FREE This question is part of | Download PDF Attempt this Test |
Most Upvoted Answer
In a lossy medium(εr = 8, αr = 0.5, σ = 0.01S/m), a plane wave is tra...
From the field intensity, we get
w = 109π
And it is given that, αr = 0.5, σ = 0.01 S/m, εr = 8.
So, the phase constant,
= 20.95
Let the distance travelled by the wave be z to have a phase shift of 10o.
So, βz = 10o = 10π/180 rad
z = π/18 x(20.95) = 8.33 mm
Free Test
FREE
| Start Free Test |
Community Answer
In a lossy medium(εr = 8, αr = 0.5, σ = 0.01S/m), a plane wave is tra...
Lossy medium properties:
- Relative permittivity (εr) = 8
- Relative permeability (αr) = 0.5
- Conductivity (σ) = 0.01 S/m
Given:
- Plane wave is traveling in the az direction.
- Electric field intensity (E) = 0.5 cos(109πt + π/3) ax at z = 0.
Phase shift:
Phase shift is the difference in phase between two points in a wave. To calculate the distance traveled by the wave to have a phase shift of 10°, we need to determine the wavelength and then use the formula for phase shift.
Calculating wavelength:
The wavelength of a wave can be calculated using the formula:
λ = 2π / β
Where β is the propagation constant and can be calculated using the formula:
β = ω √(μrεr - jμrσ/ω)
ω is the angular frequency and can be calculated using the formula:
ω = 2πf
Where f is the frequency of the wave.
Calculating angular frequency:
Given that the wave has a frequency of 109π, we can calculate the angular frequency as:
ω = 2π(109π) = 218π
Calculating propagation constant:
Using the given values of εr, αr, and σ, we can calculate the propagation constant as:
β = (218π) √(0.5 * 8 - j * 0.5 * 0.01 / (218π))
Calculating wavelength:
Now, we can calculate the wavelength using the formula:
λ = 2π / β
Calculating phase shift distance:
The phase shift distance can be calculated using the formula:
Phase shift distance = (phase shift angle / 360) * wavelength
Given that the phase shift angle is 10°, we can calculate the phase shift distance as:
Phase shift distance = (10 / 360) * wavelength
Substituting the value of wavelength calculated earlier, we can calculate the phase shift distance.
Final answer:
The distance traveled by the wave to have a phase shift of 10° is 8.33 mm.
- Relative permittivity (εr) = 8
- Relative permeability (αr) = 0.5
- Conductivity (σ) = 0.01 S/m
Given:
- Plane wave is traveling in the az direction.
- Electric field intensity (E) = 0.5 cos(109πt + π/3) ax at z = 0.
Phase shift:
Phase shift is the difference in phase between two points in a wave. To calculate the distance traveled by the wave to have a phase shift of 10°, we need to determine the wavelength and then use the formula for phase shift.
Calculating wavelength:
The wavelength of a wave can be calculated using the formula:
λ = 2π / β
Where β is the propagation constant and can be calculated using the formula:
β = ω √(μrεr - jμrσ/ω)
ω is the angular frequency and can be calculated using the formula:
ω = 2πf
Where f is the frequency of the wave.
Calculating angular frequency:
Given that the wave has a frequency of 109π, we can calculate the angular frequency as:
ω = 2π(109π) = 218π
Calculating propagation constant:
Using the given values of εr, αr, and σ, we can calculate the propagation constant as:
β = (218π) √(0.5 * 8 - j * 0.5 * 0.01 / (218π))
Calculating wavelength:
Now, we can calculate the wavelength using the formula:
λ = 2π / β
Calculating phase shift distance:
The phase shift distance can be calculated using the formula:
Phase shift distance = (phase shift angle / 360) * wavelength
Given that the phase shift angle is 10°, we can calculate the phase shift distance as:
Phase shift distance = (10 / 360) * wavelength
Substituting the value of wavelength calculated earlier, we can calculate the phase shift distance.
Final answer:
The distance traveled by the wave to have a phase shift of 10° is 8.33 mm.
Attention Electronics and Communication Engineering (ECE) Students!
To make sure you are not studying endlessly, EduRev has designed Electronics and Communication Engineering (ECE) study material, with Structured Courses, Videos, & Test Series. Plus get personalized analysis, doubt solving and improvement plans to achieve a great score in Electronics and Communication Engineering (ECE).
|
Explore Courses for Electronics and Communication Engineering (ECE) exam
|
|
Similar Electronics and Communication Engineering (ECE) Doubts
Top Courses for Electronics and Communication Engineering (ECE)View all
In a lossy medium(εr = 8, αr = 0.5, σ = 0.01S/m), a plane wave is travelling in + az direction that has the electric field intensity E = 0.5 cos(109πt + π/3 ) ax at z = 0.What will be the distance (in mm) travelled by the wave to have a phase shift of 10°? (Answer up to two decimal places)Correct answer is '8.33'. Can you explain this answer?
Question Description
In a lossy medium(εr = 8, αr = 0.5, σ = 0.01S/m), a plane wave is travelling in + az direction that has the electric field intensity E = 0.5 cos(109πt + π/3 ) ax at z = 0.What will be the distance (in mm) travelled by the wave to have a phase shift of 10°? (Answer up to two decimal places)Correct answer is '8.33'. Can you explain this answer? for Electronics and Communication Engineering (ECE) 2024 is part of Electronics and Communication Engineering (ECE) preparation. The Question and answers have been prepared according to the Electronics and Communication Engineering (ECE) exam syllabus. Information about In a lossy medium(εr = 8, αr = 0.5, σ = 0.01S/m), a plane wave is travelling in + az direction that has the electric field intensity E = 0.5 cos(109πt + π/3 ) ax at z = 0.What will be the distance (in mm) travelled by the wave to have a phase shift of 10°? (Answer up to two decimal places)Correct answer is '8.33'. Can you explain this answer? covers all topics & solutions for Electronics and Communication Engineering (ECE) 2024 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for In a lossy medium(εr = 8, αr = 0.5, σ = 0.01S/m), a plane wave is travelling in + az direction that has the electric field intensity E = 0.5 cos(109πt + π/3 ) ax at z = 0.What will be the distance (in mm) travelled by the wave to have a phase shift of 10°? (Answer up to two decimal places)Correct answer is '8.33'. Can you explain this answer?.
In a lossy medium(εr = 8, αr = 0.5, σ = 0.01S/m), a plane wave is travelling in + az direction that has the electric field intensity E = 0.5 cos(109πt + π/3 ) ax at z = 0.What will be the distance (in mm) travelled by the wave to have a phase shift of 10°? (Answer up to two decimal places)Correct answer is '8.33'. Can you explain this answer? for Electronics and Communication Engineering (ECE) 2024 is part of Electronics and Communication Engineering (ECE) preparation. The Question and answers have been prepared according to the Electronics and Communication Engineering (ECE) exam syllabus. Information about In a lossy medium(εr = 8, αr = 0.5, σ = 0.01S/m), a plane wave is travelling in + az direction that has the electric field intensity E = 0.5 cos(109πt + π/3 ) ax at z = 0.What will be the distance (in mm) travelled by the wave to have a phase shift of 10°? (Answer up to two decimal places)Correct answer is '8.33'. Can you explain this answer? covers all topics & solutions for Electronics and Communication Engineering (ECE) 2024 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for In a lossy medium(εr = 8, αr = 0.5, σ = 0.01S/m), a plane wave is travelling in + az direction that has the electric field intensity E = 0.5 cos(109πt + π/3 ) ax at z = 0.What will be the distance (in mm) travelled by the wave to have a phase shift of 10°? (Answer up to two decimal places)Correct answer is '8.33'. Can you explain this answer?.
Solutions for In a lossy medium(εr = 8, αr = 0.5, σ = 0.01S/m), a plane wave is travelling in + az direction that has the electric field intensity E = 0.5 cos(109πt + π/3 ) ax at z = 0.What will be the distance (in mm) travelled by the wave to have a phase shift of 10°? (Answer up to two decimal places)Correct answer is '8.33'. Can you explain this answer? in English & in Hindi are available as part of our courses for Electronics and Communication Engineering (ECE).
Download more important topics, notes, lectures and mock test series for Electronics and Communication Engineering (ECE) Exam by signing up for free.
Here you can find the meaning of In a lossy medium(εr = 8, αr = 0.5, σ = 0.01S/m), a plane wave is travelling in + az direction that has the electric field intensity E = 0.5 cos(109πt + π/3 ) ax at z = 0.What will be the distance (in mm) travelled by the wave to have a phase shift of 10°? (Answer up to two decimal places)Correct answer is '8.33'. Can you explain this answer? defined & explained in the simplest way possible. Besides giving the explanation of
In a lossy medium(εr = 8, αr = 0.5, σ = 0.01S/m), a plane wave is travelling in + az direction that has the electric field intensity E = 0.5 cos(109πt + π/3 ) ax at z = 0.What will be the distance (in mm) travelled by the wave to have a phase shift of 10°? (Answer up to two decimal places)Correct answer is '8.33'. Can you explain this answer?, a detailed solution for In a lossy medium(εr = 8, αr = 0.5, σ = 0.01S/m), a plane wave is travelling in + az direction that has the electric field intensity E = 0.5 cos(109πt + π/3 ) ax at z = 0.What will be the distance (in mm) travelled by the wave to have a phase shift of 10°? (Answer up to two decimal places)Correct answer is '8.33'. Can you explain this answer? has been provided alongside types of In a lossy medium(εr = 8, αr = 0.5, σ = 0.01S/m), a plane wave is travelling in + az direction that has the electric field intensity E = 0.5 cos(109πt + π/3 ) ax at z = 0.What will be the distance (in mm) travelled by the wave to have a phase shift of 10°? (Answer up to two decimal places)Correct answer is '8.33'. Can you explain this answer? theory, EduRev gives you an
ample number of questions to practice In a lossy medium(εr = 8, αr = 0.5, σ = 0.01S/m), a plane wave is travelling in + az direction that has the electric field intensity E = 0.5 cos(109πt + π/3 ) ax at z = 0.What will be the distance (in mm) travelled by the wave to have a phase shift of 10°? (Answer up to two decimal places)Correct answer is '8.33'. Can you explain this answer? tests, examples and also practice Electronics and Communication Engineering (ECE) tests.
|
|
Explore Courses for Electronics and Communication Engineering (ECE) exam
|
|
Suggested Free Tests
Signup for Free!
Signup to see your scores go up within 7 days! Learn & Practice with 1000+ FREE Notes, Videos & Tests.
x
![]()
For Your Perfect Score in Electronics and Communication Engineering (ECE)
The Best you need at One Place
|
© EduRev
|
Education Revolution
|
Follow Us
|
Signup to see your scores
go up within 7 days!
Access 1000+ FREE Docs, Videos and Tests
Takes less than 10 seconds to signup